热非局域非线性高阶界面孤子的多种孤子解

彭虎庆; 马学凯; 陆大全; 胡巍

doi:10.7498/aps.61.184211

摘要

讨论了是光束在(1+1)维的热致非局域介质中的传输, 此介质在中心处被分为两部分, 两部分的线性折射率是不同的. 发现在中心处的界面附近存在多阶稳定的界面孤子. 本文研究的是五阶和六阶界面孤子, 它们都存在三种不同的孤子解. 三种孤子解的波形、束宽、光束重心、存在和稳定区间都是不相同的. 五阶孤子的三种解都存在稳定区间, 并且其中两个解存在共同稳定区域. 然而六阶孤子只有其中一种解存在稳定区间.

关键词:

We consider a one-dimensional thermal nonlinear medium with a step in the linear refractive index at the sample center. It is found that there exist multipole interface solitons around the interface of the sample. In this paper, we address the existences of three types of solutons for fifth-order and sixth-order interface solitons. The three types of interface solitons have diferent pofiles, beam widths, mass centers, existence and stability regions. The three types of fifth-order solitons each have a stability region, and two of them have the same regions. However for sixth-order interface solions, only one type solution has a stability region.

Keywords:

作者及机构信息

1.
华南师范大学光子信息技术广东省高校重点实验室, 广州 510631

基金项目: 国家自然科学基金(批准号: 10804033, 11174090)资助的课题.

Authors and contacts

1.
Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10804033, 11174090).

参考文献

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[18]	Katashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
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[20]	Alfassi B, Rotschild C, Segev M 2009 Phys. Rev. A 80 041808
[21]	Kartashov Y V, Torner L, Vysloukh V A 2006 Opt. Lett. 31 2595
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[23]	Yang Z J, Ma X K, Lu D Q, Zheng Y Z, Guo X H, Hu W 2011 Opt. Express 19 4890
[24]	Ma X K, Yang Z J, Lu D Q, Hu W 2011 Phys. Rev. A 83 033829
[25]	Ma X K, Yang Z J, Lu D Q, Hu W 2011 Phys. Rev. A 84 033802
[26]	Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Opt. Lett. 32 154
[27]	Shou Q, Liang Y B, Jiang Q, Zheng Y J, Lan S, Hu W, Guo Q 2009 Opt. Lett. 34 3523

施引文献

[1]	Snyder A W, Mitchell D J 1997 Science 276 1538
[2]	Conti C, Peccianti M, Assanto G 2003 Phys. Rev. Lett. 91 073901
[3]	Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[4]	Rotschild C, Cohen O, Manela O, Segev M, Carmon T 2005 Phys. Rev. Lett. 95 213904
[5]	Rotschild C, Alfassi B, Cohen O, Segev M 2006 Nature Phys. 2 769
[6]	Guo Q, Luo B, Yi F H, Chi S, Xie Y Q 2004 Phys. Rev. E 69 016602
[7]	Ku T S, Shih M F, Sukhorukov A A, Kivshar Y S 2005 Phys. Rev. Lett. 94 063904
[8]	Lu D Q, Hu W, Zheng Y J, Liang Y B, Cao L G, Lan S, Guo Q 2008 Phys. Rev. A 78 043815
[9]	Katashov Y V, Vysloukh V A, Torner L 2007 Opt. Express 15 9378
[10]	Buccoliero D, Desyatnikov A S, Krolikowski W, Kivshar Y S 2007 Phys. Rev. Lett. 98 053901
[11]	Deng D M, Guo Q 2008 J. Opt. A 10 035101
[12]	Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 3178 (in Chinese) [张霞萍, 郭旗 2005 物理学报 54 3178]
[13]	Zhang X P, Guo Q 2005 Acta Phys. Sin. 54 5189 (in Chinese) [张霞萍, 郭旗 2005 物理学报 54 5189]
[14]	Deng D M, Guo Q 2007 Opt. Lett. 32 3206
[15]	Peccianti M, Conti C, Assantoa G, Luca A D, Umeton C 2002 Appl. Phys. Lett. 81 3335
[16]	Guo Q, Zhang X P, Hu W, Shou Q 2006 Acta Phys. Sin. 55 1832 (in Chinese) [郭旗, 张霞萍, 胡巍, 寿倩 2006 物理学报 55 1832]
[17]	Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Phys. Rev. Lett. 98 213901
[18]	Katashov Y V, Vysloukh V A, Torner L 2009 Opt. Lett. 34 283
[19]	Ye F W, Kartashov Y V, Torner L 2008 Phys. Rev. A 77 033829
[20]	Alfassi B, Rotschild C, Segev M 2009 Phys. Rev. A 80 041808
[21]	Kartashov Y V, Torner L, Vysloukh V A 2006 Opt. Lett. 31 2595
[22]	Xu Z Y, Karashov Y V, Toner L 2005 Opt. Lett. 30 3171
[23]	Yang Z J, Ma X K, Lu D Q, Zheng Y Z, Guo X H, Hu W 2011 Opt. Express 19 4890
[24]	Ma X K, Yang Z J, Lu D Q, Hu W 2011 Phys. Rev. A 83 033829
[25]	Ma X K, Yang Z J, Lu D Q, Hu W 2011 Phys. Rev. A 84 033802
[26]	Alfassi B, Rotschild C, Manela O, Segev M, Christodoulides D N 2007 Opt. Lett. 32 154
[27]	Shou Q, Liang Y B, Jiang Q, Zheng Y J, Lan S, Hu W, Guo Q 2009 Opt. Lett. 34 3523

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